You will need
- a pair of compasses;
- - the range;
- - protractor
Instruction
1
Take a compass and a blank sheet of paper and construct a circle of arbitrary radius with center at point O. Through point O, with a ruler the diameter of the guide, calling it, for example, AV. Then construct another diameter of this circle which is perpendicular to the diameter AB. To do this swipe from dots and 2 circles whose radii will be the radius of the constructed circle. Through their intersection and the point On put the diameter perpendicular to the diameter AB. Name it, for example CD.
2
In the same way, conducting a circle of dots A and d, mark the point E, which is the midpoint of AO. CE radius from the center point e of the guide circumference. The point of intersection with the segment AB, label as F.
3
Cut the CF side of a Pentagon inscribed in the held circumference. Take a compass cut CF. From point C with a radius CF swipe the circle to the intersection with the circumference ofthe u - basis. Then from the resulting point again to swipe a circle of the same radius before the new intersection with the shared object. Repeat this step two more times. In the end the circle will turn five vertex points of the inscribed Pentagon in it. Between the points of the arc are equal. Point O set aside the segments to the points which divide the circumference. You have 5 sectors of equal area, dividing the circle into equal parts.
4
To divide a circle into five equal parts, you can use a protractor. Swipe the radius of the circle, then its centre and a given radius put an angle of 36°. This angle will describe a sector, an area equal to 1/5 the area of the circle. After performing this operation 3 more times, you will receive 5 equal sections, dividing the circumference into five equal parts. Thus, there are several ways of solving this problem and choosing any of them you will achieve the exact result.